Explosive condensation in a mass transport model

Details Explosive condensation in a mass transport model Explosive condensation in a mass transport model

2011-10-19

arxiv.org/abs/1110.4330v2

Phys. Rev. Lett. 108, 070601 (2012)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures, minor changes, references added

Scientific paper

We study a far-from-equilibrium system of interacting particles, hopping between sites of a 1d lattice with a rate which increases with the number of particles at interacting sites. We find that clusters of particles, which initially spontaneously form in the system, begin to move at increasing speed as they gain particles. Ultimately, they produce a moving condensate which comprises a finite fraction of the mass in the system. We show that, in contrast with previously studied models of condensation, the relaxation time to steady state decreases as an inverse power of ln L with system size L and that condensation is instantenous for L-->infinity.

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